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Richards P.I. — Manual of Mathematical Physics
Richards P.I. — Manual of Mathematical Physics



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Название: Manual of Mathematical Physics

Автор: Richards P.I.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1959

Количество страниц: 496

Добавлена в каталог: 24.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$F$-centers      192
$f$-number (optics)      81
$f$-number (optics), minimum value of      81
$g$-factor (Land$\acute{e}$)      157
$\check{C}$erenkov radiation      72
Abacs      262—264
Abelian groups      454
Abel’s integral equation      379
Aberration, of lenses      81
Aberration, of light      115
Absolute reaction-rate theory      237
Absorption coefficients, electromagnetic      69 72 77
Absorption coefficients, quantum mechanical for radiation      139—144 179
absorption operator      178 184
Accelerations, relativistic transformation      111
Acceptor level (impurity)      192 246
Accommodation coefficient      190
Acoustic theory      21
Activated complex      238
Activation energy      237 240
Activation energy, enthalpy      238
Activation energy, entropy      238
Activation energy, free energy      238
Active electric circuits      90 94
Activity, activity-coefficients      49
Adiabatic equation      31
Adiabatic flow      26
Adjoint differential operator      368 415
Adjoint equation      368
Adjoint matrix      303
Adjoint operator      415
Admittance (of electric circuits)      92 225
Admittance (of electric circuits), matrix      93
Admittance (of electric circuits), matrix for vacuum tube      95
Admittance (of electric circuits), matrix, “floating” matrix      94
Admittance (of electric circuits), physical realizability of      98—100
Affine connection      441
Affine transformation      441
Age theory      376
Algebra      253—264
Algebra of matrices      303—312
Alloys, ordering in      216 241
Almost-periodic functions      285
Alpha decay      150
Ampere’s Law      62
Amplifiers, feedback in      95
Amplifiers, maser      103 140
Amplifiers, parametric      103
Amplifiers, stability of      97
Amplifiers, synthesis of      99
Analytic continuation      317
Analytic continuation, numerical      338
Analytic functions      315—321
Analytic functions, branch point of      318
Analytic functions, definition      315
Analytic functions, entire      282 320
Analytic functions, essential singularity of      318
Analytic functions, integral      282 320
Analytic functions, meromorphic      321
Analytic functions, pole of      317
Analytic functions, removable singularity of      318
Analytic functions, residue of, at a pole      318
Analytic functions, singularity of      316
Analytic functions, uniqueness of      100 317
Analytic functions, with positive real part in a half-plane      98—100 320
Analytic functions, zeros of      283 316 319
Analytic functions, “continuation” of      317
Angular momentum, conservation of      7 128
Angular momentum, in quantum mechanics      128 131 138
Angular momentum, in quantum mechanics, addition of      134
Angular momentum, in quantum mechanics, Dirac theory      172
Angular momentum, in quantum mechanics, matrix elements of      138
Angular velocity      7 293
Angular-distribution, connection with energy-distribution      146
Anisotropic media, electromagnetic properties      73—75 235—237
Anisotropy energy      220
Annihilation, (of positrons)      183
Annihilation, operator      178 184
Anomalous magnetic moment, electron      186
Anomalous magnetic moment, nucleon      174
Anomalous skin effect      77
Antenna, beam-sharpness limitation      70
Antenna, dipole      70
Antenna, radiation pattern of      71
Antenna, reception cross section      72
Anti particle      174
Anti-ferromagnetism      220
Anti-symmetric matrix      309
Anti-symmetric part of a matrix      309
Aperture, flow of gas through      189
Aplanatic lens      81
Area of a surface of revolution      267
Arg($z$)      315
Asymmetric top (quantum)      165
Asymptotic series      282
Atomic configuration      159
atoms      155 161
Atoms, Hydrogen      155 173 186
Atoms, interaction with radiation      138—144 178
Atoms, mechanics of      159
Atoms, Thomas — Fermi model of      160
Attraction, virtual of Bose — Einstein molecules      204 206
Avogadro’s number      187 188
Axial vector      6 291 300 442
Axial vector, representation of a group      168
Babinet’s principle      82
Band head      155
Band spectra      155 166—168
Band, conduction      152
Band, electronic (in solids)      151 191
Band, imperfections and      192
Band, spectra (of molecules)      155 166—168
Band, spectra (of molecules), head of      155
Band, theory of solids      150—153 191—194 242-248
Band, valence      152
Bandwidth-limited signals      107
Barrier, penetration of      149
Barycentric velocity      58 228
Basis vectors      4 291
Basis vectors in general spaces      394 401 413
Basis vectors in non-orthogonal coordinates      150 298 438
Beam-width limitation, for antennas      70
Bernouli’s differential equation      342
Bernouli’s numbers      258
Bernouli’s theorem      26
Bessel differential equation      272 349
Bessel functions, series of      286
Bessel inequality      284 395
Bessel transforms      328—330
Beta decay      174 176
Bethe, theory of Ising model      219
Biaxial crystals      73
Bilateral Laplace transform      326—328
Bilateral Laplace transform, analytic properties of      327
Bilateral Laplace transform, approximate inversion of      331
Bilateral Laplace transform, inversion formula for      326
Bilateral Laplace transform, properties of      327
Bilateral Laplace transform, uniqueness of      327
Bimolecular chemical reaction      237 239
Binomial coefficients      258—260
Binomial theorem      258
Binormal vector      293
Biorthogonal (vectors, functions)      401
Biorthogonal (vectors, functions), algorithm for constructing      401
Biorthogonal (vectors, functions), matrix inversion by      308
Biot and Savart’s law      62
Birefringent media      73
Bits (unit of “information”)      106
Black-body radiation      40 179 202
Black-body radiation, Planck’s law for      179 203
Bloch, $T^{5}$ law (resistivity)      246
Bloch, spin-wave theory      220
Bloch, theorem (band-theory of solids)      151
Bloch, walls (ferromagnetism)      221
Bloch, wave function      151
Bode’s relations between attenuation and phase      100
Bode’s theorem      99
Bode’s transfer-admittance synthesis      99—100
Body-force      13
Boiling-point elevation      53
Boltzmann’s constant      187 197
Boltzmann’s distribution law      196 202
Boltzmann’s H-theorem      229
Boltzmann’s transport equation      227
Bond, chemical      130 161
Boolean algebra      262
Born approximation in scattering      146
Born approximation, Boolean algebra      262
Born approximation, general      420
Born — Oppenheimer theorem      162
Bose — Einstein condensation      204
Bose — Einstein condensation, particles      127
Bose — Einstein condensation, statistics      127 204
Bott — Duffin (electric circuit synthesis)      98
Boundary layer theory      23
Bragg — Williams theory      217
Branch point (of analytic functions)      318
Branches, acoustic and optical      216
Branches, of an analytic function      318
Branches, P, Q and R (band spectra)      155
Bremsstrahlung      182
Brewster’s angle      77
Bridgman’s equation      58
Brightness      83
Brillouin zone      151 243
Broadening of spectral lines      142—144
Brouwer’s fixed-point theorem      262
Brownian motion      225 431
Brune’s synthesis (electric impedances)      98
Brune’s theorem      98
Bulk modulus (compressibility)      18 37 191
Bulk viscosity      20 232 233
Burgers’ vector      194
Burnett equations      230
canonical ensemble      196
Capacitance, electric      85
Capacitance, estimation of      89
Capacity (information theory)      107—109
Carnot engine      33
Catalysis      192
Cauchy — Riemann equations      317
Cauchy, integral formula      317
Cauchy, principal value (of an integral)      269
Cayley — Hamilton theorem      311
Center-of-mass      6
Center-of-mass in quantum mechanics      153 158
Center-of-mass, scattering cross sections, conversion to      146
Central force problems (quantum)      153—158
Central limit theorem      426
Centrifugal stretching      164
Ces$\grave{a}$ro sums      409
Channel (communication)      106
Chaos, molecular      226 230
Character system, application in quantum mechanics      167
Character system, group theory      452
Characteristic polynomial (of a matrix)      311
Characteristic values and vectors      see Eigenvalues and Eigenvectors
Characteristics (of a partial differential equation)      354 355 358
Characteristics (of a partial differential equation), Riemann’s method of      27 358
Charge, density      60 63
Charge, density, conventional vs “true”      63
Charge, renormalization      185
Charged particle      61
Charged particle, Lagrangian function for      11
Charged particle, motion in a magnetic field      11 128 236
Chebyscheff inequality      425
Chemical, binding      130 161
Chemical, constant      47
Chemical, kinetics      237
Chemical, potential      44
Chemical, potential, in statistical mechanics      198 204
Chemical, potential, of electrons in solids      205 243 247
Christoffel symbols (affine connection)      441
Circuit (electric)      83—104
Circuit (electric), analysis      91—97
Circuit (electric), fundamental equations of      88
Circuit (electric), Kirchhoff’s laws of      88
Circuit (electric), nonlinear      102—104
Circuit (electric), synthesis of      98—101
Circuit (electric), time-invariant      104
Circulation      23
Clairaut differential equation      342
Class (group theory)      451
Clausius — Mosotti equations      209
Clausius—Clapeyron equation      51
Clebsch — Gordon coefficients      137
Closure (under an operation)      394 450
Cluster integrals      212
Co-moving coordinates      13 25 114 118
Coding (of “information”)      106
Cofactor (of a determinant or matrix)      302
Cogredient (covariant)      438 443
Collision, broadening (of spectral lines)      143
Collision, invariants      229
Collision, theory (quantum)      144—149
COLOR      82
Combinatorial theorems      260
Communication theory      104—109
Commutator, of operators      130
Commuting matrices      401
Commuting observables (quantum)      136
Complete, integral ($1^{st}$-order partial differential equation)      355
Complete, set of functions      412
Complete, set of vectors      395
Complex frequencies      96
Complex, molecular      237
Complex-variable theory      315—321
Components (number of independent chemicals)      45
Compressibility, adiabatic      37 43
Compressibility, and other elastic constants      18 215
Compressibility, isothermal      37 215
Compressibility, of ionic crystals      191
Compressible flow      27
Compression waves      19
Compton scattering, elementary relations      129
Compton scattering, theory of      180
Concentration      45
Condensation, Bose — Einstein      204
Condensation, of real gases      41 213
Conduction band      152
Conductivity      see Thermal or Electric
Configuration (of atomic electrons)      159
Confluent hypergeometric equation      349
Conformal mapping      318
Conformal mapping, applications of      365
Conjugate, hermitian      309
Conjugate, matrix      309
Conjugate, momenta      12 126
Conjugate, parameters (thermodynamic)      31
Connection, affine      441
Connectivity (topological)      261
Conservation, equation (mass)      13 228 372
Conservation, laws (quantum)      128
Conservative forces      4
Conservative forces, small vibrations under      11
Conservative forces, systems with      5
Constraining forces      5
Constraints, method of undetermined multipliers      5 390
Contact, potential      206
Contact, transformation (quantummechanics)      128
1 2 3 4 5 6 7 8
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